101020112020 has 12 divisors (see below), whose sum is σ = 212142235284. Its totient is φ = 40408044800.

The previous prime is 101020111999. The next prime is 101020112099. The reversal of 101020112020 is 20211020101.

It can be written as a sum of positive squares in 2 ways, for example, as 53602436484 + 47417675536 = 231522^2 + 217756^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101020111988 and 101020112006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2525502781 + ... + 2525502820.

It is an arithmetic number, because the mean of its divisors is an integer number (17678519607).

Almost surely, 2^101020112020 is an apocalyptic number.

101020112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020112020 is an abundant number, since it is smaller than the sum of its proper divisors (111122123264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101020112020 is a wasteful number, since it uses less digits than its factorization.

101020112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051005610 (or 5051005608 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101020112020 its reverse (20211020101), we get a palindrome (121231132121).

The spelling of 101020112020 in words is "one hundred one billion, twenty million, one hundred twelve thousand, twenty".